Chern-Simons theory and topological strings | Zendy

Marcos Mariño | Zendy

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Chern-Simons theory and topological strings

Author(s) -

Marcos Mariño

Publication year - 2005

Publication title -

reviews of modern physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 24.877

H-Index - 363

eISSN - 1538-4527

pISSN - 0034-6861

DOI - 10.1103/revmodphys.77.675

Subject(s) - physics , topological string theory , string field theory , chern–simons theory , non critical string theory , theoretical physics , string theory , knot theory , topological quantum field theory , string duality , relationship between string theory and quantum field theory , gauge theory , heterotic string theory , type i string theory , coupling constant , topology (electrical circuits) , mathematical physics , quantum mechanics , mathematics , quantum gravity , combinatorics , compressibility , quantum , thermodynamics

We review the relation between Chern-Simons gauge theory and topologicalstring theory on noncompact Calabi-Yau spaces. This relation has made possibleto give an exact solution of topological string theory on these spaces to allorders in the string coupling constant. We focus on the construction of thissolution, which is encoded in the topological vertex, and we emphasize theimplications of the physics of string/gauge theory duality for knot theory andfor the geometry of Calabi-Yau manifolds.Comment: 46 pages, RMP style, 25 figures, minor corrections, references adde

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